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26971056 = 24357991
BaseRepresentation
bin110011011100…
…0101110110000
31212202021100000
41212320232300
523401033211
62402030000
7445151550
oct146705660
955667300
1026971056
1114251832
129048300
135784408
143821160
15257b656
hex19b8bb0

26971056 has 120 divisors (see below), whose sum is σ = 89549824. Its totient is φ = 7698240.

The previous prime is 26970971. The next prime is 26971057. The reversal of 26971056 is 65017962.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26971056.

It is not an unprimeable number, because it can be changed into a prime (26971057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26721 + ... + 27711.

Almost surely, 226971056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774912).

26971056 is an abundant number, since it is smaller than the sum of its proper divisors (62578768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26971056 is an equidigital number, since it uses as much as digits as its factorization.

26971056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 26971056 is about 5193.3665381908. The cubic root of 26971056 is about 299.8927616710.

The spelling of 26971056 in words is "twenty-six million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 991 1008 1134 1296 1512 1701 1944 1982 2268 2973 3024 3402 3888 3964 4536 5946 6804 6937 7928 8919 9072 11892 13608 13874 15856 17838 20811 23784 26757 27216 27748 35676 41622 47568 53514 55496 62433 71352 80271 83244 107028 110992 124866 142704 160542 166488 187299 214056 240813 249732 321084 332976 374598 428112 481626 499464 561897 642168 749196 963252 998928 1123794 1284336 1498392 1685691 1926504 2247588 2996784 3371382 3853008 4495176 6742764 8990352 13485528 26971056